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Finding the Fourth Proportional to 4,956.24, 7,407.68 and 4,326.53

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Solution

The fourth proportional to 4,956.24, 7,407.68 and 4,326.53 is: 6,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.24 : 7,407.68 = 4,326.53 : x
  2. Step 2: Convert to fraction form
    4,956.24/7,407.68 = 4,326.53/x
  3. Step 3: Cross multiply
    4,956.24x = 7,407.68 × 4,326.53
  4. Step 4: Simplify right side
    4,956.24x = 32,049,549.75
  5. Step 5: Solve for x
    x = 32,049,549.75/4,956.24
  6. Step 6: Final answer
    x = 6,466.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.